freq.curve.cau

Parameters of the distribution from <code>parcau</code> or <code>vec2par</code>.

para

This function returns the quantiles of the Cauchy distribution given a
vector of nonexceedance probabilities and the parameters of the distribution.
Because in magnitude and frequency analysis the frequency curve is typically
the objective, this is a convenient function to increase analysis efficiency.

distribution

The package implements the statistical theory of L-moments including 
 L-moment estimation, probability-weighted moment estimation, parameter estimation 
 for numerous familiar and not-so-familiar distributions, and L-moment estimation 
 for the same distributions from the parameters. L-moments are derived from the 
 expectations of order statistics and are linear with respect to the probability- 
 weighted moments. L-moments are directly analogous to the well-known product 
 moments; however, L-moments have many advantages including unbiasedness, 
 robustness, and consistency with respect to the product moments. This package 
 is oriented around the FORTRAN algorithms of J.R.M. Hosking, and the 
 nomenclature for many of the functions parallels that of the Hosking library. 
 Numerous additional features are added to aid in extension of the breadth of 
 L-moment application. Much theoretical extension of L-moment theory has 
 occurred in recent years. E.A.H. Elamir and A.H. Seheult have developed the 
 trimmed L-moments, which are implemented in this package. Further, recent 
 developments by Robert Serfling and Peng Xiao have extended L-moments into 
 multivariate space; the so-called sample L-comoments are implemented here. The 
 supported distributions with moment type shown as L (L-moments) or TL (trimmed 
 L-moments) include the Cauchy(TL), Exponential(L), Gamma(L), Generalized Extreme 
 Value(L), Generalized Lambda(L/TL), Generalized Logistic (L), Generalized 
 Normal(L), Generalized Pareto(L/TL), Gumbel(L), Normal(L), Kappa(L), Pearson 
 Type III(L), and Wakeby(L).

freq.curve.cau: Frequency Curve of the Cauchy Distribution

Description

Usage

Arguments

Value

References

See Also

Examples